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Finding the Fourth Proportional to 205,282.64, 307,978.20 and 86,958.32

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Solution

The fourth proportional to 205,282.64, 307,978.20 and 86,958.32 is: 130,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,282.64 : 307,978.20 = 86,958.32 : x
  2. Step 2: Convert to fraction form
    205,282.64/307,978.20 = 86,958.32/x
  3. Step 3: Cross multiply
    205,282.64x = 307,978.20 × 86,958.32
  4. Step 4: Simplify right side
    205,282.64x = 26,781,266,868.62
  5. Step 5: Solve for x
    x = 26,781,266,868.62/205,282.64
  6. Step 6: Final answer
    x = 130,460.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.